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Finding the Fourth Proportional to 6,472.85, 9,707.20 and 2,089.29

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Solution

The fourth proportional to 6,472.85, 9,707.20 and 2,089.29 is: 3,133.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.85 : 9,707.20 = 2,089.29 : x
  2. Step 2: Convert to fraction form
    6,472.85/9,707.20 = 2,089.29/x
  3. Step 3: Cross multiply
    6,472.85x = 9,707.20 × 2,089.29
  4. Step 4: Simplify right side
    6,472.85x = 20,281,150.66
  5. Step 5: Solve for x
    x = 20,281,150.66/6,472.85
  6. Step 6: Final answer
    x = 3,133.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.